{
  "id": "math/0701472",
  "version": "v1",
  "published": "2007-01-17T09:29:26.000Z",
  "updated": "2007-01-17T09:29:26.000Z",
  "title": "Pencils of double coverings of curves",
  "authors": [
    "Luis Fuentes Garcia"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "Let X be a smooth curve of genus g. When pi>=3g and d>=pi-2g+1 we show the existence of a double covering gamma:C-->X where C a smooth curve of genus pi with a base-point-free pencil of degree d which is not the pull-back of a pencil on X.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-01-17T09:29:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14H51",
      "14H30"
    ],
    "keywords": [
      "double covering",
      "smooth curve",
      "genus pi"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......1472F"
    }
  }
}